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Find the value of a³+8b³ if …

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Find the value of a³+8b³ if a+2b = 10 and ab = 15

Posted by Trishla Jain 5 years, 4 months ago

CBSE > Class 09 > Mathematics

1 answers

Yogita Ingle 5 years, 4 months ago

Given: a+2b=10 and ab=15
Consider, a³+8b³ = a³ + (2b³)
=(a + 2b)³ - 3 × a × 2b(a + 2b) {SInce, a³ + b³ =(a + b )- 3ab(a + b)}
=(a + 2b)³ - 6ab(a + 2ab)
=(10)³- 6 × 15 × 10
=1000- 900 =100

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